JEE Mains · Maths · STD 12 - 8. Application and integration
The area of the region \(\{(x, y):|x-y| \leq y \leq 4 \sqrt{x}\}\) is
- A \(512\)
- B \(\frac{1024}{3}\)
- C \(\frac{512}{3}\)
- D \(\frac{2048}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{1024}{3}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & |x-y| \leq y \leq 4 \sqrt{x} \\ & \text { Now } y=|x-y| \\ & y^2=(x-y)^2 \\ & \Rightarrow y=\frac{x}{2} \text { and } x=0\end{aligned}\)…
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